Mesurer et visualiser les distorsions dans les techniques de projection continues

Translated title of the contribution: Measuring and visualizing the distortions in the techniques of continuous projection

Michaël Aupetit*, Pierre Gaillard

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The visualization of continuous multi-dimensional data based on their projection to a 2-dimensional space is a way to detect visually interesting patterns, as far as the projection provides a faithful image of the original data. In order to evaluate this faithfulness, we propose to visualize any measure associated to the data by coloring the corresponding Voronoï cells in the projection space, and we define specific measures. We experiment these techniques with the Principal Component Analysis and the Curvilinear Component Analysis applied to artificial and real databases.

Translated title of the contributionMeasuring and visualizing the distortions in the techniques of continuous projection
Original languageFrench
Pages (from-to)443-472
Number of pages30
JournalRevue d'Intelligence Artificielle
Volume22
Issue number3-4
DOIs
Publication statusPublished - 2008
Externally publishedYes

Keywords

  • Continuous projection
  • Delaunay graph
  • Distortion visualization
  • Exploratory data analysis
  • High-dimensional data
  • Topology recovering
  • Uncertainty visualization
  • Voronoï cells

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